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Finding the Fourth Proportional to 87,090, 120,185.16 and 47,346

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Solution

The fourth proportional to 87,090, 120,185.16 and 47,346 is: 65,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,090 : 120,185.16 = 47,346 : x
  2. Step 2: Convert to fraction form
    87,090/120,185.16 = 47,346/x
  3. Step 3: Cross multiply
    87,090x = 120,185.16 × 47,346
  4. Step 4: Simplify right side
    87,090x = 5,690,286,585.36
  5. Step 5: Solve for x
    x = 5,690,286,585.36/87,090
  6. Step 6: Final answer
    x = 65,338.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.